Remotest Spot in the lower 48?

Over the weekend I got into a discussion with a friend regarding the remotest spot in the lower 48 states. What I really want to know, is there any spot that can not be reached within 24 hours from here in Boulder, CO? Maybe a plane flight, a drive, and then a run, ski, paddle or climb. This could actually make for one reality show that I would be interested in. I can not think of any spot off the top of my head. Nominate your remotest spot in the comments!